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%I #4 Dec 12 2014 21:29:03
%S 10991,31774,31774,53776,55941,53776,112929,84953,84953,112929,327823,
%T 183494,43475,183494,327823,1080979,710758,85570,85570,710758,1080979,
%U 2183207,2297641,309509,242893,309509,2297641,2183207,5486634,9138994
%N T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime
%C Table starts
%C ....10991.....31774.....53776....112929......327823.....1080979.....2183207
%C ....31774.....55941.....84953....183494......710758.....2297641.....9138994
%C ....53776.....84953.....43475.....85570......309509.....1083611.....2760880
%C ...112929....183494.....85570....242893......958171.....3353508....10165927
%C ...327823....710758....309509....958171.....5198219....30060975....97038957
%C ..1080979...2297641...1083611...3353508....30060975...248966785...759807163
%C ..2183207...9138994...2760880..10165927....97038957...759807163..2810979165
%C ..5486634..27977649..11408435..43093018...598042259..8322287804.29562415507
%C .16631787.118955569..45212106.160833703..3791553994.80058549769
%C .51672060.380855595.116642072.479755164.11804694219
%H R. H. Hardin, <a href="/A252039/b252039.txt">Table of n, a(n) for n = 1..111</a>
%e Some solutions for n=3 k=4
%e ..4..0..0..0..1..0....1..1..4..1..3..2....4..1..3..0..3..1....2..1..1..2..1..3
%e ..1..4..1..3..4..3....4..2..0..2..2..0....4..3..3..0..1..3....0..4..2..0..2..4
%e ..3..4..3..1..4..3....1..1..2..1..1..2....1..4..4..1..4..4....2..1..1..2..1..1
%e ..0..1..0..0..1..0....1..1..2..1..1..4....4..3..3..0..3..1....2..1..1..2..1..1
%e ..3..4..1..3..4..1....4..2..0..2..4..0....4..3..3..0..1..3....0..4..4..0..4..4
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 12 2014
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